Local systems on configuration spaces, KZ connections and conformal blocks
The author reviews homology of local systems on the complement of hyperplane arrangements and provides the construction of the homological representations of braid groups. The homology of the local systems on configuration spaces is given. Then, KZ-equations are defined and its solutions by hypergeometric integrals are described. The comparison theorem for homological representations and the homonomy of KZ connections are discussed in the case of generic parameters. Finally, the author discusses the nongeneric case from the viewpoint of conformal field theory.
scientific article; zbMATH DE number 6388898
scientific article